121021221012 has 96 divisors (see below), whose sum is σ = 303800340480. Its totient is φ = 37375655040.

The previous prime is 121021220963. The next prime is 121021221019. The reversal of 121021221012 is 210122120121.

It is a super-2 number, since 2×121021221012² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121021220982 and 121021221000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121021221019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17367153 + ... + 17374119.

It is an arithmetic number, because the mean of its divisors is an integer number (3164586880).

Almost surely, 2^121021221012 is an apocalyptic number.

121021221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121021221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151900170240).

121021221012 is an abundant number, since it is smaller than the sum of its proper divisors (182779119468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121021221012 is a wasteful number, since it uses less digits than its factorization.

121021221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8661 (or 8659 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121021221012 its reverse (210122120121), we get a palindrome (331143341133).

The spelling of 121021221012 in words is "one hundred twenty-one billion, twenty-one million, two hundred twenty-one thousand, twelve".